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4 years ago

Which trigonometric expression has the same value as sin 38 degrees?A- tan 38B cos 38 C tan 52 D cos 52

Mathematics

1 answer:

allochka39001 [22]4 years ago

5 0

Cos(52)

The rule is

Sin(A) = Cos(90-A)

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In rectangle FGHI, diagonals FH and GI intersect at E. G F E H I • IE = 3x + 4 • EG = 5x - 6 What is the length of FH ?

timurjin [86]

Answer:

FH = 38

Step-by-step explanation:

Here, given the point of intersection of the two diagonals at E, we want to calculate the length of FH

The point of intersection of the diagonals is the midpoint of each as the diagonals bisect each other

thus,

3x + 4 = 5x - 6

5x-3x = 6+ 4

2x = 10

x= 10/2

x = 5

but Eg is 5x-6

and FH = 2EG

FH = 2(5x-6)

FH = 10x - 12

Substitute x = 5

FH = 10(5) -12

FH = 50-12

FH = 38

3 0

3 years ago

Brady tosses a coin three times. Each toss could be heads or tails. Which

Step2247 [10]

Answer:

Option B

Step-by-step explanation:

HHH → All heads

HHT → Two heads + one tail

HTH → Two heads + one tail

HTT → Two tails + one head

THH → One tail + two heads

THT → Two tails + one head

TTH → Two tails + one head

TTT → All tails

Therefore, At least two tails means → Sample space outcome with two tails Or all tails

Therefore, from the given options HTT is having two tails.

Option B is the correct option.

7 0

3 years ago

Read 2 more answers

The length of a rectangular storage room is 3 feet longer than its width. if the area of the room is 40 square feet, find the wi

xenn [34]

Answer:

Width of rectangular storage room= 5 feet.

Step-by-step explanation:

Let x be the width of storage room.

We have been given that the length of a rectangular storage room is 3 feet longer than its width. So the length of storage room will be x+3.

We are also given that the area of the room is 40 square feet.

Since the area of a rectangle is length times width.

$\text{Area of rectangle}=\text{Length* Width}$

Let us substitute our given values in area formula.

$40=x*(x+3)$

Upon distributing x we will get,

$40=x^2+3x$

$x^2+3x-40=0$

Now let us factor out our quadratic equation using splitting the middle term.

$x^2+8x-5x-40=0$

$x(x+8)-5(x+8)=0$

$(x+8)(x-5)=0$

$x+8=0$ or $x-5=0$

$x=-8$ or $x=5$

Since width can not be negative, therefore, the width of rectangle will be 5 feet.

Let us verify our answer.

Length of rectangular storage room is 3 feet longer than its width. So length will be 5+3=8.

Given: Area=40 square feet.

5*8=40.

Hence, width of rectangular storage room is 5 feet.

7 0

3 years ago

What is the solution to 4(2x– 3)= 2(3x+ 1)? -5 1 7 10

Paul [167]

4 (2x – 3)= 2( 3x + 1)
(4 (2x – 3)= 2( 3x + 1)) ÷ 2
2 (2x – 3) = (3x + 1)
4x - 6 = 3x +1
-3x -3x
__________
x - 6 = 1
+6 +6
______
x = 7

8 0

3 years ago

Select the correct answer from each drop-down menu. In triangle ABC, mZA = 36°, mZB = 84, and m2C = 60°. The side lengths, in or

Ann [662]

Answer:

Step-by-step explanation:

The side opposite to greatest angle is longer

Angles in descending order, ∠B > ∠C > ∠A

Sides, CA > BA > BC

5 0

3 years ago